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Finding the Fourth Proportional to 22,523.67, 31,080.12 and 12,449.58

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Solution

The fourth proportional to 22,523.67, 31,080.12 and 12,449.58 is: 17,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.67 : 31,080.12 = 12,449.58 : x
  2. Step 2: Convert to fraction form
    22,523.67/31,080.12 = 12,449.58/x
  3. Step 3: Cross multiply
    22,523.67x = 31,080.12 × 12,449.58
  4. Step 4: Simplify right side
    22,523.67x = 386,934,440.35
  5. Step 5: Solve for x
    x = 386,934,440.35/22,523.67
  6. Step 6: Final answer
    x = 17,179.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.